On locating disjoint segments with maximum sum of densities

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Abstract

Given a sequence A of n real numbers and two positive integers l and k, where , the problem is to locate k disjoint segments of A, each has length at least l, such that their sum of densities is maximized. The best previously known algorithm, due to Bergkvist and Damaschke [1], runs in O(nl+k 2l 2) time. In this paper, we give an O(n+k 2llogl)-time algorithm. © 2006 Springer-Verlag Berlin/Heidelberg.

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Liu, H. F., & Chao, K. M. (2006). On locating disjoint segments with maximum sum of densities. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4288 LNCS, pp. 300–307). https://doi.org/10.1007/11940128_31

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